GCD of 196, 210, 49, 497 Calculator

Given Input numbers are 196, 210, 49, 497

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 196, 210, 49, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 210, 49, 497 is 7.

Therefore, GCD of numbers 196, 210, 49, 497 is 7

Given Input Data is 196, 210, 49, 497

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 49 is 7 x 7

Prime Factorization of 497 is 7 x 71

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(196, 210) = 2940

GCD(196, 210) = ( 196 x 210 ) / 2940

GCD(196, 210) = 41160 / 2940

GCD(196, 210) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 49

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(14, 49) = 98

GCD(14, 49) = ( 14 x 49 ) / 98

GCD(14, 49) = 686 / 98

GCD(14, 49) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 497

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 497) = 497

GCD(7, 497) = ( 7 x 497 ) / 497

GCD(7, 497) = 3479 / 497

GCD(7, 497) = 7

GCD of 196, 210, 49, 497 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 184, 84, 416
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• GCD of 765, 178, 74, 352
• GCD of 473, 112, 24, 986
• GCD of 572, 771, 34, 124

1. What is the GCD of 196, 210, 49, 497?

GCD of 196, 210, 49, 497 is 7

2. Where do I get the detailed procedure to find GCD of 196, 210, 49, 497?

You can find a detailed procedure to find GCD of 196, 210, 49, 497 on our page.

3. How to find GCD of 196, 210, 49, 497 on a calculator?

You can find the GCD of 196, 210, 49, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.